Union of Intersections/Examples
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Examples of Union of Intersections
Example: $4$ Arbitrarily Chosen Sets of Complex Numbers
Let:
| \(\ds A\) | \(=\) | \(\ds \set {1, i, -i}\) | ||||||||||||
| \(\ds B\) | \(=\) | \(\ds \set {2, 1, -i}\) | ||||||||||||
| \(\ds C\) | \(=\) | \(\ds \set {i, -1, 1 + i}\) | ||||||||||||
| \(\ds D\) | \(=\) | \(\ds \set {0, -i, 1}\) |
Then:
- $\paren {A \cap C} \cup \paren {B \cap D} = \set {1, i, -i}$